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E82

[0KS] Prerequisites:[0H0], [0KQ], [0KM].Let B be a base for a topology 𝜏 on X. Show that, for any given AβŠ†X,

A∘=⋃―{B∈B:BβŠ†A}

while

A―={x∈X:βˆ€B∈B,x∈Bβ‡’B∩Aβ‰ βˆ…}

Solution 1

[0KT]

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  • space, topological
  • topological space
  • ⋃―
  • interior
  • closure
  • base, (topology)
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